Let's divide 553577 by 79
Our goal is to divide 553577 by 79.

Step 1:
79 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 79

Step 2:
79 can be fit into 55 0 times, resulting in a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Grab the next digit (3) from the dividend, add it to 55, then carry on: 553 / 79

Going ahead to step 3:
79 goes into 553 7 times with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 553 away from 553, we end up with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 79

On to step 4:
If we divide 5 by 79, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 70.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 79

On to step 5:
The number 79 fits into 57 0 times, leaving a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 700.0
If we subtract 0 from 57, we get 57.
Take the next digit (7) from the dividend and append it to 57, then repeat: 577 / 79

Step 6:
When dividing 577 by 79, we get 7 with a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 7007.0
If we subtract 553 from 577, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
79 can be fit into 240 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 7007.3
If we take 237 away from 240, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
If we divide 30 by 79, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 7007.3
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
If we divide 300 by 79, we get 3 and a remainder of 63.
The next digit of our result is 3. 
Result so far: 7007.303
If we take 237 away from 300, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 10:
630 divided by 79 is 7 with a remainder of 77.
The next digit of our result is 7. 
Result so far: 7007.3037
If we take 553 away from 630, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 11:
770 divided by 79 is 9 with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 7007.30379
If we take 711 away from 770, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 12:
79 can be fit into 590 7 times, resulting in a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 7007.303797
Subtract 553 from 590 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 13:
370 divided by 79 is 4 with a remainder of 54.
The next digit of our result is 4. 
Result so far: 7007.3037974
Subtract 316 from 370 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 14:
The number 79 fits into 540 6 times, leaving a remainder of 66.
Record the quotient 6 as the next digit in the result. 
Result so far: 7007.30379746
If we take 474 away from 540, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final result is 7007.30379746 with a remainder of 6.6e-08.